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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-37/8, b>=a > For fixed z and a=-37/8, b=13/8





http://functions.wolfram.com/07.23.03.bbr0.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 13/8, 9/2, -z] == (1/(229434975 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-51504 - 310097 z - 630924 z^2 + 1267962 z^3 + 2669260 z^4 + 2713887 z^5 + 1579176 z^6 + 503472 z^7 + 68544 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (-68672 - 472120 z - 1192103 z^2 - 210308 z^3 + 2344262 z^4 + 3857596 z^5 + 3444825 z^6 + 1822344 z^7 + 537744 z^8 + 68544 z^9) Sinh[(3 ArcSinh[Sqrt[z]])/4]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02